10102211020273 has 2 divisors, whose sum is σ = 10102211020274. Its totient is φ = 10102211020272.

The previous prime is 10102211020193. The next prime is 10102211020303. The reversal of 10102211020273 is 37202011220101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6514092361984 + 3588118658289 = 2552272^2 + 1894233^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102211020273 - 2⁴¹ = 7903187764721 is a prime.

It is a super-3 number, since 3×10102211020273³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10102211020373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051105510136 + 5051105510137.

It is an arithmetic number, because the mean of its divisors is an integer number (5051105510137).

Almost surely, 2^{10102211020273} is an apocalyptic number.

It is an amenable number.

10102211020273 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102211020273 is an equidigital number, since it uses as much as digits as its factorization.

10102211020273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 10102211020273 its reverse (37202011220101), we get a palindrome (47304222240374).

The spelling of 10102211020273 in words is "ten trillion, one hundred two billion, two hundred eleven million, twenty thousand, two hundred seventy-three".